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Uniqueness of equilibrium payoffs in the stochastic model of bargaining

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  • Evdokimov, Kirill S.

Abstract

I provide a sufficient condition for the uniqueness of equilibrium payoffs in a model of stochastic bargaining with unanimity rule and risk-averse players. My Condition (S) implies Condition (C) of Merlo and Wilson (1995) and is easy to verify in applications.

Suggested Citation

  • Evdokimov, Kirill S., 2020. "Uniqueness of equilibrium payoffs in the stochastic model of bargaining," Economics Letters, Elsevier, vol. 188(C).
  • Handle: RePEc:eee:ecolet:v:188:y:2020:i:c:s0165176519304744
    DOI: 10.1016/j.econlet.2019.108931
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    References listed on IDEAS

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    1. Roth, Alvin E, 1985. "A Note on Risk Aversion in a Perfect Equilibrium Model of Bargaining," Econometrica, Econometric Society, vol. 53(1), pages 207-211, January.
    2. Merlo, Antonio, 1997. "Bargaining over Governments in a Stochastic Environment," Journal of Political Economy, University of Chicago Press, vol. 105(1), pages 101-131, February.
    3. Daniel Diermeier & Hulya Eraslan & Antonio Merlo, 2003. "A Structural Model of Government Formation," Econometrica, Econometric Society, vol. 71(1), pages 27-70, January.
    4. Timothy Simcoe, 2012. "Standard Setting Committees: Consensus Governance for Shared Technology Platforms," American Economic Review, American Economic Association, vol. 102(1), pages 305-336, February.
    5. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    6. Merlo, Antonio & Wilson, Charles A, 1995. "A Stochastic Model of Sequential Bargaining with Complete Information," Econometrica, Econometric Society, vol. 63(2), pages 371-399, March.
    7. Harrington, Joseph Jr., 1986. "A non-cooperative bargaining game with risk averse players and an uncertain finite horizon," Economics Letters, Elsevier, vol. 20(1), pages 9-13.
    8. Hülya Eraslan, 2016. "Uniqueness of stationary equilibrium payoffs in the Baron–Ferejohn model with risk-averse players," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(1), pages 29-40, March.
    9. Harrington, Joseph Jr., 1989. "The advantageous nature of risk aversion in a three-player bargaining game where acceptance of a proposal requires a simple majority," Economics Letters, Elsevier, vol. 30(3), pages 195-200, September.
    10. Eraslan, Hulya & Merlo, Antonio, 2002. "Majority Rule in a Stochastic Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 103(1), pages 31-48, March.
    11. Harrington, Joseph E, Jr, 1990. "The Role of Risk Preferences in Bargaining When Acceptance of a Proposal Requires Less than Unanimous Approval," Journal of Risk and Uncertainty, Springer, vol. 3(2), pages 135-154, June.
    12. Eraslan, Hulya, 2002. "Uniqueness of Stationary Equilibrium Payoffs in the Baron-Ferejohn Model," Journal of Economic Theory, Elsevier, vol. 103(1), pages 11-30, March.
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    More about this item

    Keywords

    Stochastic bargaining; Uniqueness; Risk aversion; Unanimity rule;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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